Abstract
The boundary value problem c t=c xx-c yy+q(t,x)c with {fx349-1} was solved by Colton [1] for q analytic in t. The solution may be used for mapping solutions of the heat equation into solutions of u t=u xx+q(t,x)u. Solutions (of the boundary value problem) no longer exist if q is not analytic in t.
| Original language | English |
|---|---|
| Pages (from-to) | 349-351 |
| Number of pages | 3 |
| Journal | Israel Journal of Mathematics |
| Volume | 71 |
| Issue number | 3 |
| DOIs | |
| State | Published - Oct 1990 |
| Externally published | Yes |